Finding the Third Proportional to 25,872 and 41,032

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872 : 41,032 = 41,032 : x
2. Step 2: Convert to fraction form
   25,872/41,032 = 41,032/x
3. Step 3: Cross multiply
   25,872x = 41,032 × 41,032
4. Step 4: Simplify right side
   25,872x = 1,683,625,024
5. Step 5: Solve for x
   x = 1,683,625,024/25,872
6. Step 6: Final answer
   x = 65,075.18